no it is not.
the 380 acp is unrelated to the european 9mm family of cartridges, it was designed from the ground up by john browing specifically for his line of semi automatic pistols in 1907.
in europe the .380acp is called the 9mm Browning, 9mm corto, 9mm kurz, etc.
the 9mm most commonly used is the Parabellum, often called the 9mm Luger or the 9x19 mm designed in 1908, and thats what zimmerman used.
the two rounds are NOT compatible.
there is also a .357 sig, 38 special, 357 magnum, 28 super auto, 38 S&W, the 38 Colt New police, 357 maximum, 35 remington, 9mm makarov, a 9mm largo, and a few other obsolete or rarely used cartridges which also use a .380/9mm bore.